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Math Directory

4,606,940

22 × 5 × 132 × 29 × 47
Abundant Even Composite

4,606,940 factors as 2^2 × 5 × 13^2 × 29 × 47. Its 72 positive divisors give a proper-divisor sum of 6,460,900, so this integer is abundant. The Collatz stopping time is 193 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 29 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 11,067,840
Proper Divisor Sum 6,460,900
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4606939 ← → #4606963

Radix Representation

Decimal 4606940
Binary 10001100100101111011100 (23 bits)
Octal 0o21445734
Hexadecimal 0x464BDC

Divisor Catalog (5 of 72)

1 2 4 5 10

Collatz Trajectory (193 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

4,606,940 2,303,470 1,151,735 3,455,206 1,727,603

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